English

On a degeneracy ratio for bounded convex polytopes

Optimization and Control 2019-07-16 v1

Abstract

We consider a quantity that measures the roundness of a bounded, convex dd-polytope in Rd\mathbb{R}^d. We majorise this quantity in terms of the smallest singular value of the matrix of outer unit normals to the facets of the polytope.

Keywords

Cite

@article{arxiv.1907.06085,
  title  = {On a degeneracy ratio for bounded convex polytopes},
  author = {Nada Cvetković and Han Cheng Lie},
  journal= {arXiv preprint arXiv:1907.06085},
  year   = {2019}
}
R2 v1 2026-06-23T10:20:17.291Z